I don't know if this qualifies as "strange", but a friend once drew me a comic for Christmas-- it was a story about a dolphin. It was just that I had perceived it as odd and really random at first, but then I realized that she drew it knowing that my favourite animal was the dolphin. So...yeah. Now that I think about it, it's not really that strange.

Eh..now that I think of it, the only gifts I do receive are feelings, but then that's not strange at all, it's only natural.. Hmm...I don't tell people my birthday and I dislike it when my family throws me a birthday party regardless as to if they do which is never but I don't mind...I guess I have never received any weird--er strange present before.

A broken Barry Manalow cassette tape. It was one of those goofy "White Elephant" gift exchanges back when I was in school. She said it was broken, but the joke's on her! The tape worked! Not that I really listened to any of it though.

And to quote you, Rina-San, my cat once gave me the gift of a dead mouse; in my shoe! Imagine my surprise when I couldn't fit my foot into my shoe; I turn it upside-down, and out comes the dead mouse. Although gross to us humans, you'd have to admire a cat that is willing to give you a gift of their prey. Most cats would just take it for themselves.